Search a number
-
+
3300660000 = 253254111667
BaseRepresentation
bin1100010010111100…
…0001001100100000
322112000202220022200
43010233001030200
523224432110000
61303304333200
7144536101311
oct30457011440
98460686280
103300660000
111444155790
12781474200
13407a83871
1423450c608
15144b83500
hexc4bc1320

3300660000 has 360 divisors, whose sum is σ = 12803014224. Its totient is φ = 799680000.

The previous prime is 3300659953. The next prime is 3300660019. The reversal of 3300660000 is 660033.

3300660000 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 660 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1979167 + ... + 1980833.

Almost surely, 23300660000 is an apocalyptic number.

3300660000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401507112).

3300660000 is an abundant number, since it is smaller than the sum of its proper divisors (9502354224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3300660000 is a wasteful number, since it uses less digits than its factorization.

3300660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3300660000 is about 57451.3707408274. The cubic root of 3300660000 is about 1488.9048000412.

The spelling of 3300660000 in words is "three billion, three hundred million, six hundred sixty thousand".